106652093184 has 864 divisors, whose sum is σ = 394268958720. Its totient is φ = 26982678528.

The previous prime is 106652093183. The next prime is 106652093189. The reversal of 106652093184 is 481390256601.

106652093184 is a `hidden beast` number, since 10 + 6 + 6 + 520 + 9 + 31 + 84 = 666.

It is a super-2 number, since 2×106652093184² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106652093183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778482364 + ... + 778482500.

Almost surely, 2^106652093184 is an apocalyptic number.

106652093184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106652093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197134479360).

106652093184 is an abundant number, since it is smaller than the sum of its proper divisors (287616865536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106652093184 is a wasteful number, since it uses less digits than its factorization.

106652093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106652093184 in words is "one hundred six billion, six hundred fifty-two million, ninety-three thousand, one hundred eighty-four".